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213333372 = 223372312269
BaseRepresentation
bin11001011011100…
…11010101111100
3112212102110101000
430231303111330
5414103131442
633100250300
75200206120
oct1455632574
9485373330
10213333372
11aa46a57a
125b540990
1335275185
1420493580
1513aded4c
hexcb7357c

213333372 has 96 divisors (see below), whose sum is σ = 659635200. Its totient is φ = 58297536.

The previous prime is 213333353. The next prime is 213333397. The reversal of 213333372 is 273333312.

It is a happy number.

It is a super-2 number, since 2×2133333722 = 91022255217780768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11254 + ... + 23522.

It is an arithmetic number, because the mean of its divisors is an integer number (6871200).

Almost surely, 2213333372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213333372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329817600).

213333372 is an abundant number, since it is smaller than the sum of its proper divisors (446301828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213333372 is a wasteful number, since it uses less digits than its factorization.

213333372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12304 counting only the distinct ones).

The product of its digits is 6804, while the sum is 27.

The square root of 213333372 is about 14605.9361904672. The cubic root of 213333372 is about 597.5206689745.

Adding to 213333372 its reverse (273333312), we get a palindrome (486666684).

The spelling of 213333372 in words is "two hundred thirteen million, three hundred thirty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 12269 17388 24538 36807 49076 73614 85883 110421 147228 171766 220842 257649 282187 331263 343532 441684 515298 564374 662526 772947 846561 1030596 1128748 1325052 1545894 1693122 1975309 2318841 2539683 3091788 3386244 3950618 4637682 5079366 5925927 7619049 7901236 9275364 10158732 11851854 15238098 17777781 23703708 30476196 35555562 53333343 71111124 106666686 213333372